131864958382080 has 2496 divisors, whose sum is σ = 542136574715904. Its totient is φ = 26782728192000.

The previous prime is 131864958382037. The next prime is 131864958382153. The reversal of 131864958382080 is 80283859468131.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 762225192874 + ... + 762225193046.

Almost surely, 2^{131864958382080} is an apocalyptic number.

131864958382080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131864958382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271068287357952).

131864958382080 is an abundant number, since it is smaller than the sum of its proper divisors (410271616333824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131864958382080 is a wasteful number, since it uses less digits than its factorization.

131864958382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 66.

The spelling of 131864958382080 in words is "one hundred thirty-one trillion, eight hundred sixty-four billion, nine hundred fifty-eight million, three hundred eighty-two thousand, eighty".